Multi-piece solid golf ball

1. A multi-piece solid golf ball comprising a core, an envelope layer, an intermediate layer and a cover, the core being formed of a rubber composition as one layer, the envelope layer being formed of a resin material as one or more layers and the intermediate layer and cover each independently being formed of a resin material as a single layer,

wherein

the core has a diameter of from 35.1 to 41.3 mm;

the core has a hardness profile in which, letting Cc be the Shore C hardness at a center of the core, Cm be the Shore C hardness at a midpoint M between the core center and a surface of the core, Cm−2, Cm−4 and Cm−6 be the respective Shore C hardnesses at positions 2 mm, 4 mm and 6 mm inward from the midpoint M, Cm+2, Cm+4 and Cm+6 be the respective Shore C hardnesses at positions 2 mm, 4 mm and 6 mm outward from the midpoint M and Cs be the Shore C hardness at the core surface, and defining the surface areas A to F as follows

surface area A: ½×2×(Cm−4−Cm−6)

surface area B: ½×2×(Cm−2−Cm−4)

surface area C: ½×2×(Cm−Cm−2)

surface area D: ½×2×(Cm+2−Cm)

surface area E: ½×2×(Cm+4−Cm+2)

surface area F: ½×2×(Cm+6−Cm+4),

(surface area E+surface area F)−(surface area A+surface area B) has a value of 1.0 or more;

the intermediate layer has a material hardness on the Shore D hardness scale of at least 65 and has a specific gravity of at least 1.05,

the center hardness of the core, surface hardness of the sphere obtained by encasing the core with the envelope layer (envelope layer-encased sphere) and surface hardness of the sphere obtained by encasing the envelope layer-encased sphere with the intermediate layer (intermediate layer-encased sphere) have Shore C hardness relationships therebetween which satisfy the following conditions:

surface hardness of envelope layer-encased sphere<surface hardness of intermediate layer-encased sphere, and  (1)

(surface hardness of intermediate layer-encased sphere)−(center hardness of core)≥40.  (2)

2. The golf ball of claim 1 , wherein the thickness relationship among the layers satisfies the following condition:

cover thickness<intermediate layer thickness<envelope layer thickness.  (3)

3. The golf ball of claim 1 , wherein the surface hardnesses of the core and the layer-encased spheres satisfy the following condition:

surface hardness of core<surface hardness of envelope layer-encased sphere<surface hardness of intermediate layer-encased sphere>surface hardness of ball.  (1′)

4. The golf ball of claim 1 , wherein the resin material making up the intermediate layer contains a high-acid ionomer.

5. The golf ball of claim 1 wherein the value of (surface hardness of intermediate layer-encased sphere)−(center hardness of core) in formula (2) has an upper limit on the Shore C hardness scale of 53 or less.

6. The golf ball of claim 1 , wherein the value obtained by subtracting the core center hardness (Cc) from the core surface hardness (Cs), expressed as Cs−Cc, is 20 or more.

7. The golf ball of claim 1 , wherein surface areas B to E in the core hardness profile satisfy the following condition:

(surface area D +surface area E )−(surface area B +surface area C )≥1.0, and surface area A <surface area C <(surface area E +surface area F ).

8. The golf ball of claim 1 , wherein the resin material making up the intermediate layer contains a granular inorganic filler.

9. The golf ball of claim 1 , wherein the intermediate layer and the cover have respective specific gravities which satisfy the relationship:

−0.15≤cover specific gravity−intermediate layer specific gravity≤0.15.

10. The golf ball of claim 1 , wherein the ball has a deflection when compressed under a final load of 1,275 N (130 kgf) from an initial load of 98 N (10 kgf) which is at least 2.7 mm.

11. A multi-piece solid golf ball comprising a core, an envelope layer, an intermediate layer and a cover, the core being formed of a rubber composition as one layer, the envelope layer being formed of a resin material as one or more layers and the intermediate layer and cover each independently being formed of a resin material as a single layer,

wherein

the core has a diameter of from 35.1 to 41.3 mm;

the core has a hardness profile in which, letting Cc be the Shore C hardness at a center of the core, Cm be the Shore C hardness at a midpoint M between the core center and a surface of the core, Cm−2, Cm−4 and Cm−6 be the respective Shore C hardnesses at positions 2 mm, 4 mm and 6 mm inward from the midpoint M, Cm+2, Cm+4 and Cm+6 be the respective Shore C hardnesses at positions 2 mm, 4 mm and 6 mm outward from the midpoint M and Cs be the Shore C hardness at the core surface, and defining the surface areas A to F as follows

surface area A: ½×2×(Cm−4−Cm−6)

surface area B: ½×2×(Cm−2−Cm−4)

surface area C: ½×2×(Cm−Cm−2)

surface area D: ½×2×(Cm+2−Cm)

surface area E: ½×2×(Cm+4−Cm+2)

surface area F: ½×2×(Cm+6−Cm+4),

(surface area E+surface area F)−(surface area A+surface area B) has a value of 1.0 or more:

the resin materials making up either or both of the envelope layer and the intermediate layer contain a high-acid ionomer;

wherein the resin material making up the intermediate layer contains a granular inorganic filler;

the center hardness of the core, surface hardness of the sphere obtained by encasing the core with the envelope layer (envelope layer-encased sphere) and surface hardness of the sphere obtained by encasing the envelope layer-encased sphere with the intermediate layer (intermediate layer-encased sphere) have Shore C hardness relationships therebetween which satisfy the following conditions:

surface hardness of envelope layer-encased sphere<surface hardness of intermediate layer-encased sphere, and  (1)

(surface hardness of intermediate layer-encased sphere)−(center hardness of core)≥40.  (2)